How many triangles will there be in the 7th term of the following sequence?
The figure shows a sequence. The first figure in the sequence shows a triangle, the second figure shows 4 triangles, the third figure shows 7 triangles and so on.
A. 19
B. 22 **
C. 16
D. 8
not quite. How many times do you add 3 to get the 7th term?
To find the number of triangles in the 7th term of the sequence, we need to analyze the pattern and determine the relationship between each term.
Looking at the sequence, we can observe that each term has one additional triangle than the previous term. The first term has 1 triangle, the second term has 4 triangles (1+3), the third term has 7 triangles (4+3), and so on.
So we can conclude that the number of triangles in each term is given by the formula:
number of triangles = 1 + (term number - 1) * 3
Let's apply this formula to find the number of triangles in the 7th term:
number of triangles = 1 + (7-1) * 3
number of triangles = 1 + 6 * 3
number of triangles = 1 + 18
number of triangles = 19
Therefore, there will be 19 triangles in the 7th term of the sequence. So the correct answer is A. 19.
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